GCF of 862/454, 778/238, 271/865
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 862/454, 778/238, 271/865 i.e 1/46732490 easily. The following is the detailed procedure to determine the greatest common factor of fractions 862/454, 778/238, 271/865.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 862/454,778/238,271/865?
Given fractions are 862/454,778/238,271/865
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 862/454,778/238,271/865, numerators are 862,778,271
Denominators are 454,238,865
The GCF of 862,778,271 is 1 .
LCM of 454,238,865 is 46732490.
The greatest common factor of 862/454,778/238,271/865 = [GCF of 862,778,271]/[LCM of 454,238,865]= 1/46732490
Therefore, the GCF of 862/454,778/238,271/865 is 1/46732490.
To find the highest common factor of 862,778,271, we have to find the factors of both numbers and list the highest common factor.
The factors of 862 are 1, 2, 431, 862
The factors of 778 are 1, 2, 389, 778
The factors of 271 are 1, 271
The HCF of 862,778,271 is 1.
Lets's calculate GCF of 862,778,271
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 862,778,271 By Matching Biggest Common Factor Method
Now, list down the factors of 862
:1,2,431,862
Now, list down the factors of 778
:1,2,389,778
Now, list down the factors of 271
:1,271
Greatest Common Factor
We found the factors 862,778,271 . The biggest common factor number is the GCF number.
So the greatest common factor 862,778,271 is 1.
Lets's calculate LCM of 454,238,865
| 2 | 454, 238, 865 |
| 227, 119, 865 |
∴ So the LCM of the given numbers is 2 x 227 x 119 x 865 = 46732490
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/46732490
Therefore, the GCF of Fractions 862/454,778/238,271/865 is 1/46732490
Least Common Multiple of 454,238,865 with GCF Formula
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 454,238,865 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(454,238,865) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(454,238,865) x common factors =1 x 2 = 2
LCM(454,238,865) = ( 454 × 238 × 865 ) / 2
LCM(454,238,865) = 93464980 / 2
LCM(454,238,865) = 46732490
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 862/454, 778/238, 271/865
1. What is the HCF of 862,778,271?
The HCF of 862,778,271 is 1
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
4. What is the GCF of Fractions for 862/454, 778/238, 271/865?
Answer: GCF of Numerators as per given numbers 862/454, 778/238, 271/865 is
GCF of Numerators i.e. for 862,778,271 is 1
LCM of denominators i.e. for 454,238,865 is 46732490.
Thus, GCF of Fractions is 1/46732490.Finally, GCF of Fractions for 862/454, 778/238, 271/865 is 1/46732490.